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Finding the Fourth Proportional to 7,693.67, 11,538.67 and 2,147.20

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Solution

The fourth proportional to 7,693.67, 11,538.67 and 2,147.20 is: 3,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.67 : 11,538.67 = 2,147.20 : x
  2. Step 2: Convert to fraction form
    7,693.67/11,538.67 = 2,147.20/x
  3. Step 3: Cross multiply
    7,693.67x = 11,538.67 × 2,147.20
  4. Step 4: Simplify right side
    7,693.67x = 24,775,832.22
  5. Step 5: Solve for x
    x = 24,775,832.22/7,693.67
  6. Step 6: Final answer
    x = 3,220.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.